Search a number
-
+
167012814209 is a prime number
BaseRepresentation
bin1001101110001010111…
…1010100110110000001
3120222002102002000120112
42123202233110312001
510214020240023314
6204420304121105
715031506332453
oct2334257246601
9528072060515
10167012814209
116491441a28a
1228450306195
131299810b327
1481250482d3
15452748843e
hex26e2bd4d81

167012814209 has 2 divisors, whose sum is σ = 167012814210. Its totient is φ = 167012814208.

The previous prime is 167012814181. The next prime is 167012814229. The reversal of 167012814209 is 902418210761.

167012814209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 165762979600 + 1249834609 = 407140^2 + 35353^2 .

It is a cyclic number.

It is not a de Polignac number, because 167012814209 - 28 = 167012813953 is a prime.

It is a super-2 number, since 2×1670128142092 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (167012814229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83506407104 + 83506407105.

It is an arithmetic number, because the mean of its divisors is an integer number (83506407105).

Almost surely, 2167012814209 is an apocalyptic number.

It is an amenable number.

167012814209 is a deficient number, since it is larger than the sum of its proper divisors (1).

167012814209 is an equidigital number, since it uses as much as digits as its factorization.

167012814209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 41.

The spelling of 167012814209 in words is "one hundred sixty-seven billion, twelve million, eight hundred fourteen thousand, two hundred nine".